OpenAI
AI 'solved' famous maths problems. Read the asterisks.
The results are real. So are the caveats nobody screenshots.
AI advanced real maths in May 2026 — but humans and Lean verified every step.
Two claims, one week. OpenAI: an internal reasoning model disproved Erdős's 1946 unit-distance conjecture. DeepMind: AlphaProof Nexus solved nine open Erdős problems plus 44 conjectures. The dunk-tweet version — 'Google beat OpenAI nine to one' — is fun and almost entirely beside the point.
Where the asterisks live
OpenAI's proof is human-checked and not yet through formal peer review. DeepMind's nine are machine-verified in Lean — which is the genuinely impressive part, but it also means the win comes from a tight generate-then-verify loop, not a model free-soloing genius. DeepMind even noted a basic agent solved the same nine; the fancier system mostly made it cheaper.
The tell is that the people closest to it are the most careful: Hassabis said straight out the system is 'still not AGI'. When the vendor undersells and the timeline oversells, trust the vendor. AI is now a real instrument for parts of maths — narrow parts, with a human or a checker holding the pen.
Sources
- An OpenAI model has disproved a central conjecture in discrete geometry — OpenAI, 20 May 2026
- OpenAI's milestone math breakthrough played to AI's strengths — Understanding AI, 22 May 2026
- Google DeepMind's AlphaProof Nexus solves 9 Erdős problems and 44 conjectures — Crypto Briefing, 26 May 2026